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Finding the Third Proportional to 2,109.88 and 3,278.75

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Solution

The third proportional to 2,109.88 and 3,278.75 is: 5,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.88 : 3,278.75 = 3,278.75 : x
  2. Step 2: Convert to fraction form
    2,109.88/3,278.75 = 3,278.75/x
  3. Step 3: Cross multiply
    2,109.88x = 3,278.75 × 3,278.75
  4. Step 4: Simplify right side
    2,109.88x = 10,750,201.56
  5. Step 5: Solve for x
    x = 10,750,201.56/2,109.88
  6. Step 6: Final answer
    x = 5,095.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.